Global Attractor for the Convective Cahn-Hilliard Equation in H k

Xiaopeng Zhao; Ning Duan

Bulletin of the Polish Academy of Sciences. Mathematics (2011)

  • Volume: 59, Issue: 1, page 53-64
  • ISSN: 0239-7269

Abstract

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We consider the convective Cahn-Hilliard equation with periodic boundary conditions. Based on the iteration technique for regularity estimates and the classical theorem on existence of a global attractor, we prove that the convective Cahn-Hilliard equation has a global attractor in H k .

How to cite

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Xiaopeng Zhao, and Ning Duan. "Global Attractor for the Convective Cahn-Hilliard Equation in $H^k$." Bulletin of the Polish Academy of Sciences. Mathematics 59.1 (2011): 53-64. <http://eudml.org/doc/281312>.

@article{XiaopengZhao2011,
abstract = {We consider the convective Cahn-Hilliard equation with periodic boundary conditions. Based on the iteration technique for regularity estimates and the classical theorem on existence of a global attractor, we prove that the convective Cahn-Hilliard equation has a global attractor in $H^k$.},
author = {Xiaopeng Zhao, Ning Duan},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {-limit set; periodic boundary conditions},
language = {eng},
number = {1},
pages = {53-64},
title = {Global Attractor for the Convective Cahn-Hilliard Equation in $H^k$},
url = {http://eudml.org/doc/281312},
volume = {59},
year = {2011},
}

TY - JOUR
AU - Xiaopeng Zhao
AU - Ning Duan
TI - Global Attractor for the Convective Cahn-Hilliard Equation in $H^k$
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2011
VL - 59
IS - 1
SP - 53
EP - 64
AB - We consider the convective Cahn-Hilliard equation with periodic boundary conditions. Based on the iteration technique for regularity estimates and the classical theorem on existence of a global attractor, we prove that the convective Cahn-Hilliard equation has a global attractor in $H^k$.
LA - eng
KW - -limit set; periodic boundary conditions
UR - http://eudml.org/doc/281312
ER -

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